Tim van Beeck

I am a first year PhD student supervised by Christoph Lehrenfeld and a member of the CRC 1456. My research is currently focussed the development and analysis of numerical methods for Galbrun's equation, a PDE that models the propagation of waves in the sun. Previously, I wrote my Master's thesis on discontinuous Galerkin discretizations for Galbrun's equation and my Bachelor’s Thesis on a DG discretization for a degenerate diffusion equation in the working group. I have also contributed to a project on unfitted mixed finite element methods.

Travel

Conferences and workshops

• Conference on Mathematics of Wave Phenomena 2025, Karlsruhe, Germany
• GAMM Numerical Analysis 2024, Augsburg, Germany
• GAMM ANLA 2024, Göttingen, Germany
• CRC 1456 Retreat 2024, Hofgeismar, Germany
• Chemnitz FEM Symposium 2024, Chemnitz, Germany
• WCCM 2024, Vancouver, Canada
• WAVES 2024, Berlin, Germany
• EFEF 2024, London, UK
• NGSolve Usermeeting 2024, Vienna, Austria
• NGSolve Usermeeting 2023, Portland, USA
• EFEF 2023, Enschede, Netherlands
• NoKo 2022, Hanover, Germany

Research visits

• December 9-16, 2024: Pavia, Italy, with Umberto Zerbinati
• January-March 2024: UCL London, UK, with Erik Burman and Janosch Preuß

Publications

*Patrick E. Farrell, TvB, Umberto Zerbinati, "Analysis and numerical analysis of the Helmholtz-Korteweg equation", arXiv preprint, arXiv:2503.10771, (2025), PDF

• TvB, Umberto Zerbinati, "An adaptive mesh refinement strategy to ensure quasi-optimality of the conforming finite element method for the Helmholtz equation via T-coercivity", arXiv preprint, arXiv:2403.06266, (2024), PDF
• Christoph Lehrenfeld, TvB, Igor Voulis, "Analysis of divergence-preserving unfitted mixed finite element methods for the mixed Poisson problem.", arXiv preprint, arXiv:2306.12722, (2023), PDF.

Theses

• TvB (2023): "On stable discontinuous Galerkin discretizations for Galbrun's equation.", Master's thesis, NAM, University of Göttingen, http.
• TvB (2021): "On a Discontinuous Galerkin discretization for a degenerate diffusion equation.", Bachelor's thesis, NAM, University of Göttingen, http.